Answer: 0.75
Step-by-step explanation:
Given : Interval for uniform distribution : [0 minute, 5 minutes]
The probability density function will be :-

The probability that a given class period runs between 50.75 and 51.25 minutes is given by :-
![P(x>1.25)=\int^{5}_{1.25}f(x)\ dx\\\\=(0.2)[x]^{5}_{1.25}\\\\=(0.2)(5-1.25)=0.75](https://tex.z-dn.net/?f=P%28x%3E1.25%29%3D%5Cint%5E%7B5%7D_%7B1.25%7Df%28x%29%5C%20dx%5C%5C%5C%5C%3D%280.2%29%5Bx%5D%5E%7B5%7D_%7B1.25%7D%5C%5C%5C%5C%3D%280.2%29%285-1.25%29%3D0.75)
Hence, the probability that a randomly selected passenger has a waiting time greater than 1.25 minutes = 0.75
Answer:
Rational
Integer
Whole
Real
Step-by-step explanation:
<u>Rational</u><u>:</u><u> </u>
The square root of 4 is 2, which is an integer (number without decimals). A number is only irrational if it has endless decimals after it.
<u>Integer</u><u>:</u>
A number without decimals
<u>Whole:</u>
A number without fractions; an integer.
<u>Real: </u>
Real numbers include whole numbers, rational numbers and irrational numbers- pretty much any number you can think of. The only numbers that ARENT considered real are imaginary numbers like √-1 and infinity.
Answer:
128 feet
Step-by-step explanation:

So now we will substitute the values of T and π into the equation.


Divide both sides by 6.28

Square both sides.

Multiply both sides by 32

Answer:
The equation of the line y= 5x+1. Line that is parallel to the function given should have the same slope as the equation which is 5. We use the point-slope form in order to find the second equation that contains the point (4,5).
y - 5 = 5(x-4)
y = 5x - 20 +5
y≈ 5x -15